A probability class consists of 20 students, unimaginatively called Student 1, Student 2, and so on. A. Student 1 rolls a die 12 times. Write a math expression for the chance that Student 1 gets 2 sixes. Use the code cell below to write a Python expression that evaluates to the chance, and then write the output on your paper along with the math expression.
B. Each of the 20 students rolls 12 dice. Write a math expression for P(at least one of the students gets 2 sixes)P(at least one of the students gets 2 sixes).
C. Suppose instead the students proceed as follows:
Student 1 rolls a die 12 times. If 2 sixes appear, the experiment is over. If not, then
Student 2 rolls a die 12 times. If 2 sixes appear, the experiment is over. If not, then
Student 3 rolls a die 12 times. If 2 sixes appear, the experiment is over. If not, then
Student 4 rolls 12 dice
Write a math expression for the chance that Student 5 is the first student who sees 2 sixes.